Abstract
In this chapter it is shown that for every finite holomorphic map f: X →Y the image functor f * is exact in the category of coherent O X -sheaves. It is further proved that if S is a coherent O X -sheaf, then f *(S) is coherent. These two theorems are important ingredients in the proof of Theorem B (see Chapter IV, 1.2).
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© 1979 Springer Science+Business Media New York
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Grauert, H., Remmert, R. (1979). Coherence Theory for Finite Holomorphic Maps. In: Theory of Stein Spaces. Grundlehren der mathematischen Wissenschaften, vol 236. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4357-9_3
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DOI: https://doi.org/10.1007/978-1-4757-4357-9_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-4359-3
Online ISBN: 978-1-4757-4357-9
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